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Jan 29, 2012 at 19:22 vote accept CommunityBot
Jan 29, 2012 at 19:22 history bounty ended Sune Jakobsen
Jan 26, 2012 at 18:33 comment added Aaron Meyerowitz I'm pretty sure that this has most of the solution in it. The maximum should be piece-wise linear. Perhaps a constant 2/3 if the maximum entry is no larger than 1/3 and outside there shrinking to 1/2 in some places and increasing to 1 in others. I suspect it will be (for me) messy intermediate formulas leading to a less messy final description. I'll post it if I work it out.
Jan 22, 2012 at 23:00 history answered David E Speyer CC BY-SA 3.0